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Fair Values of Financial Instruments - Fair Value of Financial Instruments Categorized Based Upon Lowest Level of Input (Detail) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Short Term Investments $ 1,220us-gaap_OtherShortTermInvestments $ 1,318us-gaap_OtherShortTermInvestments
Fixed maturities, Fair Value 38,457us-gaap_AvailableForSaleSecuritiesDebtSecurities 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities
Equity securities 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities
Long Term Debt 3,300us-gaap_LongTermDebt 3,300us-gaap_LongTermDebt
Fair Value [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Short Term Investments 1,220us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
1,318us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Fixed maturities, Fair Value 38,457us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Equity securities 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Total fixed maturities, equity securities and other invested assets, Fair Value 41,641us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
42,062us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Long Term Debt 4,046us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
4,013us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Tax Exempt [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 20,415us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
19,772us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Tax Exempt [Member] | Fair Value [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 20,415us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
19,772us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Taxable [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 18,042us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
19,008us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 1,518us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Taxable [Member] | Corporate Bonds [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 9,139us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,028us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 6,177us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,672us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Taxable [Member] | Fair Value [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 18,042us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
19,008us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | Fair Value [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 1,518us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Taxable [Member] | Fair Value [Member] | Corporate Bonds [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 9,139us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,028us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Taxable [Member] | Fair Value [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 6,177us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,672us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Taxable [Member] | Fair Value [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 194us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
211us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | Fair Value [Member] | Commercial Mortgage-backed Securities [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 1,014us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
1,090us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 1 [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Short Term Investments 192us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
206us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Equity securities 1,958us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
1,958us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Total fixed maturities, equity securities and other invested assets, Fair Value 2,150us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
2,164us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Level 2 [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Short Term Investments 1,028us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
1,112us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Fixed maturities, Fair Value 38,261us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
38,651us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Total fixed maturities, equity securities and other invested assets, Fair Value 39,289us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
39,763us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Long Term Debt 4,046us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
4,013us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Level 2 [Member] | Tax Exempt [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 20,413us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
19,769us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Level 2 [Member] | Taxable [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 17,848us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,882us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 2 [Member] | Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 1,518us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Level 2 [Member] | Taxable [Member] | Corporate Bonds [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 8,954us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
8,912us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Level 2 [Member] | Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 6,169us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,663us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Level 2 [Member] | Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 193us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
210us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 2 [Member] | Taxable [Member] | Commercial Mortgage-backed Securities [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 1,014us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
1,090us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 3 [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 196us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
129us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Equity securities 6us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
6us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Total fixed maturities, equity securities and other invested assets, Fair Value 202us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
135us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Level 3 [Member] | Tax Exempt [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 2us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
3us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Level 3 [Member] | Taxable [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 194us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
126us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 3 [Member] | Taxable [Member] | Corporate Bonds [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 185us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
116us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Level 3 [Member] | Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value 8us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
9us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Level 3 [Member] | Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fixed maturities, Fair Value $ 1us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
$ 1us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember